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2024730009 = 325322832
BaseRepresentation
bin111100010101110…
…1110110110011001
312020002212221102100
41320223232312121
513121312330014
6532524554013
7101113630641
oct17053566631
95202787370
102024730009
119499a8695
124860b2909
132636256c3
14152c95521
15bcb4a009
hex78aeed99

2024730009 has 27 divisors (see below), whose sum is σ = 2991402687. Its totient is φ = 1319672016.

The previous prime is 2024730007. The next prime is 2024730023. The reversal of 2024730009 is 9000374202.

The square root of 2024730009 is 44997.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1459622025 + 565107984 = 38205^2 + 23772^2 .

It is not a de Polignac number, because 2024730009 - 21 = 2024730007 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2024730007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7154382 + ... + 7154664.

Almost surely, 22024730009 is an apocalyptic number.

2024730009 is the 44997-th square number.

2024730009 is the 22499-th centered octagonal number.

It is an amenable number.

2024730009 is a deficient number, since it is larger than the sum of its proper divisors (966672678).

2024730009 is an frugal number, since it uses more digits than its factorization.

2024730009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The cubic root of 2024730009 is about 1265.0927684835.

The spelling of 2024730009 in words is "two billion, twenty-four million, seven hundred thirty thousand, nine".

Divisors: 1 3 9 53 159 283 477 849 2547 2809 8427 14999 25281 44997 80089 134991 240267 720801 794947 2384841 4244717 7154523 12734151 38202453 224970001 674910003 2024730009